54649598400 has 420 divisors, whose sum is σ = 201564636240. Its totient is φ = 14523494400.

The previous prime is 54649598383. The next prime is 54649598429. The reversal of 54649598400 is 489594645.

54649598400 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 9 + 598 + 40 + 0 = 666.

54649598400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53005885 + ... + 53006915.

Almost surely, 2^54649598400 is an apocalyptic number.

54649598400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54649598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100782318120).

54649598400 is an abundant number, since it is smaller than the sum of its proper divisors (146915037840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54649598400 is a wasteful number, since it uses less digits than its factorization.

54649598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54649598400 in words is "fifty-four billion, six hundred forty-nine million, five hundred ninety-eight thousand, four hundred".